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ZIMSEC O-Level Mathematics

6Variation

Variation in ZIMSEC O-Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic40 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.0.1Express direct and inverse variation algebraically, find the constant of variation and solve problems.
  2. 6.0.2Express joint and partial variation algebraically and solve problems.
  3. 6.0.3Sketch and interpret graphs of direct, inverse and partial variation.

Lessons

  • Direct and inverse variation

    35 min

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  • Joint and partial variation

    35 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Variation: sample question

1 mark

zz varies jointly as xx and yy. When x=3x = 3 and y=4y = 4, z=30z = 30. Find zz when x=6x = 6 and y=2.5y = 2.5.

Complete: z = …

Only if the answer has a unit, e.g. cm or km/h.

Turn Variation into a strength.

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